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Finding the Fourth Proportional to 4,014.02, 6,016.76 and 1,547.77

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Solution

The fourth proportional to 4,014.02, 6,016.76 and 1,547.77 is: 2,320.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,014.02 : 6,016.76 = 1,547.77 : x
  2. Step 2: Convert to fraction form
    4,014.02/6,016.76 = 1,547.77/x
  3. Step 3: Cross multiply
    4,014.02x = 6,016.76 × 1,547.77
  4. Step 4: Simplify right side
    4,014.02x = 9,312,560.63
  5. Step 5: Solve for x
    x = 9,312,560.63/4,014.02
  6. Step 6: Final answer
    x = 2,320.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.